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Finding the Third Proportional to 81,370,627.31 and 178,543,968.19

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Solution

The third proportional to 81,370,627.31 and 178,543,968.19 is: 391,762,354.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,370,627.31 : 178,543,968.19 = 178,543,968.19 : x
  2. Step 2: Convert to fraction form
    81,370,627.31/178,543,968.19 = 178,543,968.19/x
  3. Step 3: Cross multiply
    81,370,627.31x = 178,543,968.19 × 178,543,968.19
  4. Step 4: Simplify right side
    81,370,627.31x = 31,877,948,576,139,012
  5. Step 5: Solve for x
    x = 31,877,948,576,139,012/81,370,627.31
  6. Step 6: Final answer
    x = 391,762,354.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.